What is expand t^{3/2}(2+sqrt(t)) ?

The solution to expand t^{3/2}(2+sqrt(t)) is t^{3/2}*2+t^2

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expand t^{3/2}(2+sqrt(t))

expand

t^{\frac{3}{2}} (2 + t)

t^{\frac{3}{2}} \cdot 2 + t^{2}

Solution steps

t^{\frac{3}{2}} (2 + t)

Apply the distributive law:

a (b + c) = ab + a c

t^{\frac{3}{2}} (2 + t) = t^{\frac{3}{2}} \cdot 2 + t^{\frac{3}{2}} t

= t^{\frac{3}{2}} \cdot 2 + t^{\frac{3}{2}} t

Simplify

t^{\frac{3}{2}} t : t^{2}

= t^{\frac{3}{2}} \cdot 2 + t^{2}

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What is expand t^{3/2}(2+sqrt(t)) ?
The solution to expand t^{3/2}(2+sqrt(t)) is t^{3/2}*2+t^2